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162,372

162,372 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

162,372 (one hundred sixty-two thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 1,933. Its proper divisors sum to 270,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27A44.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
504
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
273,261
Recamán's sequence
a(474,543) = 162,372
Square (n²)
26,364,666,384
Cube (n³)
4,280,883,610,102,848
Divisor count
24
σ(n) — sum of divisors
433,216
φ(n) — Euler's totient
46,368
Sum of prime factors
1,947

Primality

Prime factorization: 2 2 × 3 × 7 × 1933

Nearest primes: 162,359 (−13) · 162,389 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 1933 · 3866 · 5799 · 7732 · 11598 · 13531 · 23196 · 27062 · 40593 · 54124 · 81186 (half) · 162372
Aliquot sum (sum of proper divisors): 270,844
Factor pairs (a × b = 162,372)
1 × 162372
2 × 81186
3 × 54124
4 × 40593
6 × 27062
7 × 23196
12 × 13531
14 × 11598
21 × 7732
28 × 5799
42 × 3866
84 × 1933
First multiples
162,372 · 324,744 (double) · 487,116 · 649,488 · 811,860 · 974,232 · 1,136,604 · 1,298,976 · 1,461,348 · 1,623,720

Sums & aliquot sequence

As consecutive integers: 54,123 + 54,124 + 54,125 23,193 + 23,194 + … + 23,199 20,293 + 20,294 + … + 20,300 7,722 + 7,723 + … + 7,742
Aliquot sequence: 162,372 270,844 303,716 303,772 336,868 352,604 369,796 388,220 579,460 811,580 1,510,852 1,510,908 2,518,404 4,318,860 10,964,436 19,870,284 35,287,476 — unresolved within range

Continued fraction of √n

√162,372 = [402; (1, 20, 1, 3, 1, 1, 2, 28, 2, 1, 1, 3, 1, 20, 1, 804)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-two thousand three hundred seventy-two
Ordinal
162372nd
Binary
100111101001000100
Octal
475104
Hexadecimal
0x27A44
Base64
AnpE
One's complement
4,294,804,923 (32-bit)
Scientific notation
1.62372 × 10⁵
As a duration
162,372 s = 1 day, 21 hours, 6 minutes, 12 seconds
In other bases
ternary (3) 22020201210
quaternary (4) 213221010
quinary (5) 20143442
senary (6) 3251420
septenary (7) 1244250
nonary (9) 266653
undecimal (11) 100aa1
duodecimal (12) 79b70
tridecimal (13) 58ba2
tetradecimal (14) 43260
pentadecimal (15) 3319c

As an angle

162,372° = 451 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξβτοβʹ
Chinese
一十六萬二千三百七十二
Chinese (financial)
壹拾陸萬貳仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٢٣٧٢ Devanagari १६२३७२ Bengali ১৬২৩৭২ Tamil ௧௬௨௩௭௨ Thai ๑๖๒๓๗๒ Tibetan ༡༦༢༣༧༢ Khmer ១៦២៣៧២ Lao ໑໖໒໓໗໒ Burmese ၁၆၂၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162372, here are decompositions:

  • 13 + 162359 = 162372
  • 29 + 162343 = 162372
  • 79 + 162293 = 162372
  • 83 + 162289 = 162372
  • 103 + 162269 = 162372
  • 109 + 162263 = 162372
  • 151 + 162221 = 162372
  • 163 + 162209 = 162372

Showing the first eight; more decompositions exist.

Unicode codepoint
𧩄
CJK Unified Ideograph-27A44
U+27A44
Other letter (Lo)

UTF-8 encoding: F0 A7 A9 84 (4 bytes).

Hex color
#027A44
RGB(2, 122, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.122.68.

Address
0.2.122.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.122.68

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 162,372 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 162372 first appears in π at position 337,409 of the decimal expansion (the 337,409ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.